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| fundamental mathematics for epidemiology study: Fundamental Mathematics for Epidemiology Study Ray M. Merrill, 2018-09-05 As the first of its kind, this book reviews fundamental math concepts and procedures for epidemiology. Students will learn how to connect the math principles and procedures to the epidemiologic study designs. They will also will gain opportunities to apply the math principles to real-life problems and case studies. |
| fundamental mathematics for epidemiology study: Clinical Epidemiology & Evidence-Based Medicine David L. Katz, 2001-08-21 The presentation is consistently excellent. One, the writing is lucid and organized in a way that should be very natural for the clinical reader. Two, the text requires no background in mathematics and uses a minimum of symbols. And, three, the methodological concepts and clinical issues are well integrated through a number of carefully prepared and comprehensive examples. Greg Samsa, Associate Director, Duke Center for Clinical Health Policy Research If a patient is older or younger than, sicker or healthier than, taller or shorter than or simply different from the subjects of a study, do the results pertain? Clinical Epidemiology & Evidence-based Medicine is a resource for all health-care workers involved in applying evidence to the care of their patients. Using clinical examples and citing liberally from the peer-reviewed literature, the book shows how statistical principles can improve medical decisions. Plus, as Katz shows how probability, risk and alternatives are fundamental considerations in all clinical decisions, he demonstrates the intuitive basis for using clinical epidemiolgy as a science underlying medical decisions. After reading this text, the practitioner should be better able to access, interpret, and apply evidence to patient care as well as better understand and control the process of medical decision making. |
| fundamental mathematics for epidemiology study: Epidemiology Mark Woodward, 2013-12-19 Highly praised for its broad, practical coverage, the second edition of this popular text incorporated the major statistical models and issues relevant to epidemiological studies. Epidemiology: Study Design and Data Analysis, Third Edition continues to focus on the quantitative aspects of epidemiological research. Updated and expanded, this edition shows students how statistical principles and techniques can help solve epidemiological problems. New to the Third Edition New chapter on risk scores and clinical decision rules New chapter on computer-intensive methods, including the bootstrap, permutation tests, and missing value imputation New sections on binomial regression models, competing risk, information criteria, propensity scoring, and splines Many more exercises and examples using both Stata and SAS More than 60 new figures After introducing study design and reviewing all the standard methods, this self-contained book takes students through analytical methods for both general and specific epidemiological study designs, including cohort, case-control, and intervention studies. In addition to classical methods, it now covers modern methods that exploit the enormous power of contemporary computers. The book also addresses the problem of determining the appropriate size for a study, discusses statistical modeling in epidemiology, covers methods for comparing and summarizing the evidence from several studies, and explains how to use statistical models in risk forecasting and assessing new biomarkers. The author illustrates the techniques with numerous real-world examples and interprets results in a practical way. He also includes an extensive list of references for further reading along with exercises to reinforce understanding. Web Resource A wealth of supporting material can be downloaded from the book’s CRC Press web page, including: Real-life data sets used in the text SAS and Stata programs used for examples in the text SAS and Stata programs for special techniques covered Sample size spreadsheet |
| fundamental mathematics for epidemiology study: Foundations of Epidemiology Marit L. Bovbjerg, 2020-10 Foundations of Epidemiology is an open access, introductory epidemiology text intended for students and practitioners in public or allied health fields. It covers epidemiologic thinking, causality, incidence and prevalence, public health surveillance, epidemiologic study designs and why we care about which one is used, measures of association, random error and bias, confounding and effect modification, and screening. Concepts are illustrated with numerous examples drawn from contemporary and historical public health issues. |
| fundamental mathematics for epidemiology study: Mathematical Models in Population Biology and Epidemiology Fred Brauer, Carlos Castillo-Chavez, 2013-03-09 As the world population exceeds the six billion mark, questions of population explosion, of how many people the earth can support and under which conditions, become pressing. Some of the questions and challenges raised can be addressed through the use of mathemathical models, but not all. The goal of this book is to search for a balance between simple and analyzable models and unsolvable models which are capable of addressing important questions such as these. Part I focusses on single-species simple models including those which have been used to predict the growth of human and animal population in the past. Single population models are, in some sense, the building blocks of more realistic models - the subject of Part II. Their role is fundamental to the study of ecological and demographic processes including the role of population structure and spatial heterogeneity - the subject of Part III. This book, which includes both examples and exercises, will be useful to practitioners, graduate students, and scientists working in the field. |
| fundamental mathematics for epidemiology study: Introduction to Epidemiology Ray M. Merrill, 2024-02-15 Designed for students with little to no background in biomedical sciences, this book teaches students the basics of Epidemiology which is a scientifically driven discipline based on systematic observation and analysis of specified populations, the primary aim of which is to identify causes and risk factors of disease, events, and behaviors to successfully prevent and control health problems-- |
| fundamental mathematics for epidemiology study: Mathematical Epidemiology Fred Brauer, Pauline van den Driessche, J. Wu, 2008-04-30 Based on lecture notes of two summer schools with a mixed audience from mathematical sciences, epidemiology and public health, this volume offers a comprehensive introduction to basic ideas and techniques in modeling infectious diseases, for the comparison of strategies to plan for an anticipated epidemic or pandemic, and to deal with a disease outbreak in real time. It covers detailed case studies for diseases including pandemic influenza, West Nile virus, and childhood diseases. Models for other diseases including Severe Acute Respiratory Syndrome, fox rabies, and sexually transmitted infections are included as applications. Its chapters are coherent and complementary independent units. In order to accustom students to look at the current literature and to experience different perspectives, no attempt has been made to achieve united writing style or unified notation. Notes on some mathematical background (calculus, matrix algebra, differential equations, and probability) have been prepared and may be downloaded at the web site of the Centre for Disease Modeling (www.cdm.yorku.ca). |
| fundamental mathematics for epidemiology study: Epidemiology 101 Robert H. Friis, 2017-03-02 . |
| fundamental mathematics for epidemiology study: Basic Mathematics for Students of Air Pollutants Robert Maynard, Richard Atkinson, 2024-03-27 Air pollution is recognised as a major threat to global public health. The study of air pollution requires an understanding of various mathematical concepts that some students may not have encountered. For students struggling with the necessary maths this book provides a brilliant basic resource to get them up to speed. The two authors use their long experience in the air pollution field to provide a selection of the basic mathematical techniques required for the study of air pollution. These include introductions to statistical distributions, regression analysis, the elementary physics of airborne particles and gases and epidemiological techniques. Aimed at students of air pollution with a limited background in mathematics, this book is a useful addition to any air pollution course. |
| fundamental mathematics for epidemiology study: Principles and Applications of Biostatistics Ray M. Merrill, 2021-09-03 Principles and Applications of Biostatistics covers the primary concepts and methods that are required for a fundamental understanding of the use and interpretation of statistics for the biological and health sciences–from data presentation to multiple regression and analysis of variance. With a focus clarity, brevity, and accuracy, this text provides understandable and focused explanation of statistical principles and applications along with practical examples (provided in R and Microsoft Excel) and problems drawn from biological health and medical settings. Key Features: • Practical questions follow each problem to encourage students to consider why the problem likely exists, help formulate hypotheses, and then statistically assess those hypotheses. • Abundant assignment problems at the end of sections and each chapter cover a variety of application areas of biostatistics. • Rationale boxes offer explanations of why certain methods are used for specific cases. |
| fundamental mathematics for epidemiology study: Epidemiology Brian MacMahon, Dimitrios Trichopoulos, 1996 The Second Edition of this classic introductory-level textbook focuses on analytic activities involving large-population studies, as well as rapid development and application of new statistical methods. This edition contains a section on several new sub-specialties including genetic, pharmaco-, reproductive, and occupational environmental epidemiology. |
| fundamental mathematics for epidemiology study: Contemporary Approaches and Methods in Fundamental Mathematics and Mechanics Victor A. Sadovnichiy, Michael Z. Zgurovsky, 2020-11-24 This book focuses on the latest approaches and methods in fundamental mathematics and mechanics, and discusses the practical application of abstract mathematical approaches, such as differential geometry, and differential and difference equations in solid mechanics, hydrodynamics, aerodynamics, optimization, decision-making theory and control theory. Featuring selected contributions to the open seminar series of Lomonosov Moscow State University and Igor Sikorsky Kyiv Polytechnic Institute by mathematicians from China, Germany, France, Italy, Spain, Russia, Ukraine and the USA, the book will appeal to mathematicians and engineers working at the interface of these fields |
| fundamental mathematics for epidemiology study: Hospital Corps Quarterly , 1943 |
| fundamental mathematics for epidemiology study: Concepts of Epidemiology Raj S. Bhopal, 2016-09-08 Epidemiology is a population science that underpins health improvement and health care, by exploring and establishing the pattern, frequency, trends, and causes of a disease. Concepts of Epidemiology comprehensively describes the application of core epidemiological concepts and principles to readers interested in population health research, policy making, health service planning, health promotion, and clinical care. The book provides an overview of study designs and practical framework for the epidemiological analyses of diseases, including accounting for error and bias within studies. It discusses the ways in which epidemiological data are presented, explains the distinction between association and causation, as well as relative and absolute risks, and considers the theoretical and ethical basis of epidemiology both in the past and the future. This new edition places even greater emphasis on interactive learning. Each chapter includes learning objectives, theoretical and numerical exercises, questions and answers, a summary of the key points, and exemplar panels to illustrate the concepts and methods under consideration. Written in an accessible and engaging style, with a specialized glossary to explain and define technical terminology, Concepts of Epidemiology is ideal for postgraduate students in epidemiology, public health, and health policy. It is also perfect for clinicians, undergraduate students and researchers in medicine, nursing and other health disciplines who wish to improve their understanding of fundamental epidemiological concepts. |
| fundamental mathematics for epidemiology study: Social Epidemiology Lisa F. Berkman, Ichiro Kawachi, 2000-03-09 The authors of this groundbreaking text define social epidemiology as the study of the social determinants of health, implying that an important goal of public health is to identify and address factors in the social environment that may be related to health outcomes. In the first systematic account of this field, they focus on the major social variables that influence health, including socioeconomic position, income distribution, race/ethnicity, gender, social networks/social support, social capital and community cohesion, work environment, life transitions, and affective psychological states. Individual chapters describe the conceptualization and measurement of each social variable, as well as the empirical evidence linking them to a broad range of mental, physical, and behavioral health outcomes. The volume draws on the expertise of an internationally renowned group of scholars, representing the diversity of disciplines relevant to this emerging field, from sociology and psychology to physiology and medicine. The approaches covered by the chapters span the range from formulating and testing hypotheses about the links between social conditions and health to designing and implementing interventions and social policies to improve population health. The challenge of persistent social inequalities in health across the globe makes this a timely publication. The book will be an indispensable introduction to the field for students, researchers, practitioners, and policy analysts. |
| fundamental mathematics for epidemiology study: Molecular Epidemiology Paul A. Schulte, Frederica P. Perera, 2012-12-02 This book will serve as a primer for both laboratory and field scientists who are shaping the emerging field of molecular epidemiology. Molecular epidemiology utilizes the same paradigm as traditional epidemiology but uses biological markers to identify exposure, disease or susceptibility. Schulte and Perera present the epidemiologic methods pertinent to biological markers. The book is also designed to enumerate the considerations necessary for valid field research and provide a resource on the salient and subtle features of biological indicators. |
| fundamental mathematics for epidemiology study: Fundamentals of Clinical Trials Lawrence M. Friedman, Curt Furberg, David L. DeMets, 1998 This classic reference, now updated with the newest applications and results, addresses the fundamentals of such trials based on sound scientific methodology, statistical principles, and years of accumulated experience by the three authors. |
| fundamental mathematics for epidemiology study: Training Program Bulletin National Communicable Disease Center (U.S.), 1966 |
| fundamental mathematics for epidemiology study: Training Program , 1965 |
| fundamental mathematics for epidemiology study: Catalog of Hospital Corps Schools and Courses United States. Navy Department. Bureau of Medicine and Surgery, 1944 |
| fundamental mathematics for epidemiology study: Monthly Catalog of United States Government Publications United States. Superintendent of Documents, 1983 |
| fundamental mathematics for epidemiology study: A Statistical Approach to Genetic Epidemiology Andreas Ziegler, Inke R. Kônig, Friedrich Pahlke, 2010-06-14 Diese zweite Auflage des sehr erfolgreichen Lehrbuchs der Statistik in der genetischen Epidemiologie wurde sorgfältig durchgesehen, aktualisiert und an vielen Stellen erweitert. Wie gewohnt mit vielen Aufgaben und Lösungen, dazu jetzt auch Farbabbildungen und auf Wunsch gekoppelt mit einem maßgeschneiderten E-Learning-Kurs. |
| fundamental mathematics for epidemiology study: Well Sandro Galea, 2019 A deeply affecting work from one of the important and innovative voices in American health and medicine. -- Arianna Huffington In Well, physician Sandro Galea examines what Americans miss when they fixate on healthcare: health. Well is a radical examination of the subtle and not-so-subtle factors that determine who gets to be healthy in America. Galea shows how the country's failing health is a product of American history and character -- and how refocusing on our national health can usher enlightenment across American society and politics. |
| fundamental mathematics for epidemiology study: Contact Problems in Elasticity N. Kikuchi, J. T. Oden, 1988-01-01 The contact of one deformable body with another lies at the heart of almost every mechanical structure. Here, in a comprehensive treatment, two of the field's leading researchers present a systematic approach to contact problems. Using variational formulations, Kikuchi and Oden derive a multitude of new results, both for classical problems and for nonlinear problems involving large deflections and buckling of thin plates with unilateral supports, dry friction with nonclassical laws, large elastic and elastoplastic deformations with frictional contact, dynamic contacts with dynamic frictional effects, and rolling contacts. This method exposes properties of solutions obscured by classical methods, and it provides a basis for the development of powerful numerical schemes. Among the novel results presented here are algorithms for contact problems with nonlinear and nonlocal friction, and very effective algorithms for solving problems involving the large elastic deformation of hyperelastic bodies with general contact conditions. Includes detailed discussion of numerical methods for nonlinear materials with unilateral contact and friction, with examples of metalforming simulations. Also presents algorithms for the finite deformation rolling contact problem, along with a discussion of numerical examples. |
| fundamental mathematics for epidemiology study: NCDC Training Bulletin , 1966 |
| fundamental mathematics for epidemiology study: Fundamentals of Genetic Epidemiology Muin J. Khoury, Terri H. Beaty, Bernice H. Cohen, 1993 This text integrates the principles, methods and approaches of epidemiology and genetics in the study of disease aetiology. The authors define the central theme of genetic epidemiology as the study of the role of genetic factors and their interaction with environmental factors in the occurrence of disease in populations. |
| fundamental mathematics for epidemiology study: Mathematical Modelling Seyed M. Moghadas, Majid Jaberi-Douraki, 2018-07-24 An important resource that provides an overview of mathematical modelling Mathematical Modelling offers a comprehensive guide to both analytical and computational aspects of mathematical modelling that encompasses a wide range of subjects. The authors provide an overview of the basic concepts of mathematical modelling and review the relevant topics from differential equations and linear algebra. The text explores the various types of mathematical models, and includes a range of examples that help to describe a variety of techniques from dynamical systems theory. The book’s analytical techniques examine compartmental modelling, stability, bifurcation, discretization, and fixed-point analysis. The theoretical analyses involve systems of ordinary differential equations for deterministic models. The text also contains information on concepts of probability and random variables as the requirements of stochastic processes. In addition, the authors describe algorithms for computer simulation of both deterministic and stochastic models, and review a number of well-known models that illustrate their application in different fields of study. This important resource: Includes a broad spectrum of models that fall under deterministic and stochastic classes and discusses them in both continuous and discrete forms Demonstrates the wide spectrum of problems that can be addressed through mathematical modelling based on fundamental tools and techniques in applied mathematics and statistics Contains an appendix that reveals the overall approach that can be taken to solve exercises in different chapters Offers many exercises to help better understand the modelling process Written for graduate students in applied mathematics, instructors, and professionals using mathematical modelling for research and training purposes, Mathematical Modelling: A Graduate Textbook covers a broad range of analytical and computational aspects of mathematical modelling. |
| fundamental mathematics for epidemiology study: Mathematics and Climate Hans Kaper, Hans Engler, 2013-10-18 Mathematics and Climate is a timely textbook aimed at students and researchers in mathematics and statistics who are interested in current issues of climate science, as well as at climate scientists who wish to become familiar with qualitative and quantitative methods of mathematics and statistics. The authors emphasize conceptual models that capture important aspects of Earth's climate system and present the mathematical and statistical techniques that can be applied to their analysis. Topics from climate science include the Earth?s energy balance, temperature distribution, ocean circulation patterns such as El Ni?o?Southern Oscillation, ice caps and glaciation periods, the carbon cycle, and the biological pump. Among the mathematical and statistical techniques presented in the text are dynamical systems and bifurcation theory, Fourier analysis, conservation laws, regression analysis, and extreme value theory. The following features make Mathematics and Climate a valuable teaching resource: issues of current interest in climate science and sustainability are used to introduce the student to the methods of mathematics and statistics; the mathematical sophistication increases as the book progresses and topics can thus be selected according to interest and level of knowledge; each chapter ends with a set of exercises that reinforce or enhance the material presented in the chapter and stimulate critical thinking and communication skills; and the book contains an extensive list of references to the literature, a glossary of terms for the nontechnical reader, and a detailed index. |
| fundamental mathematics for epidemiology study: Fundamentals of Epidemiology and Biostatistics Ray M. Merrill, 2013 This book will familiarize your students with basic principles of epidemiology and biostatistics. Designed for use in a single course, it will clarify the distinction and complementary roles of epidemiology and biostatistics in a range of settings, and train students on the complementary roles epidemiology and biostatistics play in carrying out selected activities in the health professions. |
| fundamental mathematics for epidemiology study: Mathematical Models in Epidemiology Fred Brauer, Carlos Castillo-Chavez, Zhilan Feng, 2019-10-10 The book is a comprehensive, self-contained introduction to the mathematical modeling and analysis of disease transmission models. It includes (i) an introduction to the main concepts of compartmental models including models with heterogeneous mixing of individuals and models for vector-transmitted diseases, (ii) a detailed analysis of models for important specific diseases, including tuberculosis, HIV/AIDS, influenza, Ebola virus disease, malaria, dengue fever and the Zika virus, (iii) an introduction to more advanced mathematical topics, including age structure, spatial structure, and mobility, and (iv) some challenges and opportunities for the future. There are exercises of varying degrees of difficulty, and projects leading to new research directions. For the benefit of public health professionals whose contact with mathematics may not be recent, there is an appendix covering the necessary mathematical background. There are indications which sections require a strong mathematical background so that the book can be useful for both mathematical modelers and public health professionals. |
| fundamental mathematics for epidemiology study: Applying Quantitative Bias Analysis to Epidemiologic Data Timothy L. Lash, Matthew P. Fox, Aliza K. Fink, 2010-12-06 Bias analysis quantifies the influence of systematic error on an epidemiology study’s estimate of association. The fundamental methods of bias analysis in epi- miology have been well described for decades, yet are seldom applied in published presentations of epidemiologic research. More recent advances in bias analysis, such as probabilistic bias analysis, appear even more rarely. We suspect that there are both supply-side and demand-side explanations for the scarcity of bias analysis. On the demand side, journal reviewers and editors seldom request that authors address systematic error aside from listing them as limitations of their particular study. This listing is often accompanied by explanations for why the limitations should not pose much concern. On the supply side, methods for bias analysis receive little attention in most epidemiology curriculums, are often scattered throughout textbooks or absent from them altogether, and cannot be implemented easily using standard statistical computing software. Our objective in this text is to reduce these supply-side barriers, with the hope that demand for quantitative bias analysis will follow. |
| fundamental mathematics for epidemiology study: Monthly Catalogue, United States Public Documents , 1983 |
| fundamental mathematics for epidemiology study: Finite Difference Methods for Ordinary and Partial Differential Equations Randall J. LeVeque, 2007-01-01 This book introduces finite difference methods for both ordinary differential equations (ODEs) and partial differential equations (PDEs) and discusses the similarities and differences between algorithm design and stability analysis for different types of equations. A unified view of stability theory for ODEs and PDEs is presented, and the interplay between ODE and PDE analysis is stressed. The text emphasizes standard classical methods, but several newer approaches also are introduced and are described in the context of simple motivating examples. |
| fundamental mathematics for epidemiology study: CRC Standard Mathematical Tables and Formulae, 32nd Edition Daniel Zwillinger, 2011-06-22 With over 6,000 entries, CRC Standard Mathematical Tables and Formulae, 32nd Edition continues to provide essential formulas, tables, figures, and descriptions, including many diagrams, group tables, and integrals not available online. This new edition incorporates important topics that are unfamiliar to some readers, such as visual proofs and sequences, and illustrates how mathematical information is interpreted. Material is presented in a multisectional format, with each section containing a valuable collection of fundamental tabular and expository reference material. New to the 32nd Edition A new chapter on Mathematical Formulae from the Sciences that contains the most important formulae from a variety of fields, including acoustics, astrophysics, epidemiology, finance, statistical mechanics, and thermodynamics New material on contingency tables, estimators, process capability, runs test, and sample sizes New material on cellular automata, knot theory, music, quaternions, and rational trigonometry Updated and more streamlined tables Retaining the successful format of previous editions, this comprehensive handbook remains an invaluable reference for professionals and students in mathematical and scientific fields. |
| fundamental mathematics for epidemiology study: Guide to Educational Resources for Laboratorians , 1981 |
| fundamental mathematics for epidemiology study: First-Order Methods in Optimization Amir Beck, 2017-10-02 The primary goal of this book is to provide a self-contained, comprehensive study of the main ?rst-order methods that are frequently used in solving large-scale problems. First-order methods exploit information on values and gradients/subgradients (but not Hessians) of the functions composing the model under consideration. With the increase in the number of applications that can be modeled as large or even huge-scale optimization problems, there has been a revived interest in using simple methods that require low iteration cost as well as low memory storage. The author has gathered, reorganized, and synthesized (in a unified manner) many results that are currently scattered throughout the literature, many of which cannot be typically found in optimization books. First-Order Methods in Optimization offers comprehensive study of first-order methods with the theoretical foundations; provides plentiful examples and illustrations; emphasizes rates of convergence and complexity analysis of the main first-order methods used to solve large-scale problems; and covers both variables and functional decomposition methods. |
| fundamental mathematics for epidemiology study: Mathematics of Public Health V. Kumar Murty, Jianhong Wu, 2022-02-08 Curated by the Fields Institute for Research in Mathematical Sciences from their COVID-19 Math Modelling Seminars, this first in a series of volumes on the mathematics of public health allows readers to access the dominant ideas and techniques being used in this area, while indicating problems for further research. This work brings together experts in mathematical modelling from across Canada and the world, presenting the latest modelling methods as they relate to the COVID-19 pandemic. A primary aim of this book is to make the content accessible so that researchers share the core methods that may be applied elsewhere. The mathematical theories and technologies in this book can be used to support decision makers on critical issues such as projecting outbreak trajectories, evaluating public health interventions for infection prevention and control, developing optimal strategies to return to a new normal, and designing vaccine candidates and informing mass immunization program. Topical coverage includes: basic susceptible-exposed-infectious-recovered (SEIR) modelling framework modified and applied to COVID-19 disease transmission dynamics; nearcasting and forecasting for needs of critical medical resources including personal protective equipment (PPE); predicting COVID-19 mortality; evaluating effectiveness of convalescent plasma treatment and the logistic implementation challenges; estimating impact of delays in contact tracing; quantifying heterogeneity in contact mixing and its evaluation with social distancing; modelling point of care diagnostics of COVID-19; and understanding non-reporting and underestimation. Further, readers will have the opportunity to learn about current modelling methodologies and technologies for emerging infectious disease outbreaks, pandemic mitigation rapid response, and the mathematics behind them. The volume will help the general audience and experts to better understand the important role that mathematics has been playing during this on-going crisis in supporting critical decision-making by governments and public health agencies. |
| fundamental mathematics for epidemiology study: The Mathematics of Computerized Tomography Frank Natterer, 2001-06-01 This book provides a unified view of tomographic techniques and an in-depth treatment of reconstruction algorithms. |
| fundamental mathematics for epidemiology study: Essential Epidemiology Penny Webb, 2011 The new edition of this popular textbook remains a clear and practical introduction to epidemiology for students in all areas of health. By emphasising the role of epidemiology across a broad range of health monitoring and research, it gives students an understanding of the fundamental principles common to all areas of epidemiology. It also integrates the study of infectious and chronic diseases as well as public health and clinical epidemiology. Avoiding complex mathematics, it steps through the methods and potential problems underlying health data and reports, while maintaining a balance of rigour and clarity. The nuts-and-bolts of epidemiology are embedded in the wider international health perspective through recent and classical examples across different areas of health to engage students from a range of backgrounds. Concepts are illustrated with charts and graphs, and end-of-chapter questions test understanding (with answers provided). Online resources include further exercises, slides for teaching and useful weblinks--Provided by publisher. |
| fundamental mathematics for epidemiology study: Data Assimilation: Methods, Algorithms, and Applications Mark Asch, Marc Bocquet, Maelle Nodet, 2016-12-29 Data assimilation is an approach that combines observations and model output, with the objective of improving the latter. This book places data assimilation into the broader context of inverse problems and the theory, methods, and algorithms that are used for their solution. It provides a framework for, and insight into, the inverse problem nature of data assimilation, emphasizing why and not just how. Methods and diagnostics are emphasized, enabling readers to readily apply them to their own field of study. Readers will find a comprehensive guide that is accessible to nonexperts; numerous examples and diverse applications from a broad range of domains, including geophysics and geophysical flows, environmental acoustics, medical imaging, mechanical and biomedical engineering, economics and finance, and traffic control and urban planning; and the latest methods for advanced data assimilation, combining variational and statistical approaches. |
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